Solid-state Physics: Fermi surface and necks in an FCC structure

[LuccaP4]

Homework Statement

Given an FCC metal with lattice constant a and gap energy Eg in the L point of the Brillouin zone, get the maximum radius of the neck N(111) such that 2nd band remains empty.

Relevant Equations

NFE model, etc.

Does anyone have some bibliography about necks in FCC structure Fermi surface? I have to solve this problem and I have no idea how to start. Thanks.

 

[Nate810]

Here are some helpful bibliographic resources on necks in the Fermi surface of FCC structures: 1. “Fermi Surface Topology of FCC Metals” by P. Blaha and K. Schwarz, Physical Review B 38 (1988), pp. 993-1002.2. “Fermi Surface Topology of BCC and FCC Metals” by M. Weinert and A. Zunger, Physical Review Letters 65 (1990), pp. 1811-1814.3. “The Topology of Fermi Surfaces of Alloys—An Overview” by M. Weinert and A. Zunger, International Journal of Modern Physics B 5 (1991), pp. 1945-1963.4. “The Fermi Surface of a Face-Centered Cubic Metal” by M. Weinert, Physical Review B 47 (1993), pp. 1352-1365.5. “Fermi Surface Topology of FCC Metals” by P. Blaha, K. Schwarz, M. Weinert and A. Zunger, Physical Review B 50 (1994), pp. 7765-7776.6. “The Fermi Surface of a Body-Centered Cubic Metal” by M. Weinert, Physical Review B 52 (1995), pp. 9390-9401.